Achievable input performance of linear systems under feedback control
In this paper, we characterize the achievable input performance for linear time invariant systems under feedback control. We provide analytical expressions for minimal input requirement for stabilization in both of the H2 and H-inf optimal control frameworks. The achiev...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2009
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/90904 http://hdl.handle.net/10220/4673 |
| _version_ | 1826109592980946944 |
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| author | Meadows, Edward S. Kariwala, Vinay Skogestad, Sigurd Forbes, J. Fraser |
| author2 | School of Chemical and Biomedical Engineering |
| author_facet | School of Chemical and Biomedical Engineering Meadows, Edward S. Kariwala, Vinay Skogestad, Sigurd Forbes, J. Fraser |
| author_sort | Meadows, Edward S. |
| collection | NTU |
| description | In this paper, we characterize the achievable input performance
for linear time invariant systems under feedback control. We provide analytical expressions for minimal input requirement for
stabilization in both of the H2 and H-inf optimal control frameworks. The achievable input performance primarily depends on
the joint controllability and observability of unstable poles. These results are also extended to systems with time delay. It is
shown that time delay poses no serious limitations on the achievable input performance for systems with slow instabilities and vice versa. The proposed results unify the available results on input performance limitations and are useful for
various purposes including selection of variables for the stabilizing layer, process design and formulation of the optimal
controller design problem. |
| first_indexed | 2024-10-01T02:20:47Z |
| format | Journal Article |
| id | ntu-10356/90904 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:20:47Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | ntu-10356/909042023-12-29T06:45:04Z Achievable input performance of linear systems under feedback control Meadows, Edward S. Kariwala, Vinay Skogestad, Sigurd Forbes, J. Fraser School of Chemical and Biomedical Engineering DRNTU::Engineering::Chemical engineering DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering In this paper, we characterize the achievable input performance for linear time invariant systems under feedback control. We provide analytical expressions for minimal input requirement for stabilization in both of the H2 and H-inf optimal control frameworks. The achievable input performance primarily depends on the joint controllability and observability of unstable poles. These results are also extended to systems with time delay. It is shown that time delay poses no serious limitations on the achievable input performance for systems with slow instabilities and vice versa. The proposed results unify the available results on input performance limitations and are useful for various purposes including selection of variables for the stabilizing layer, process design and formulation of the optimal controller design problem. Accepted version 2009-07-02T07:58:29Z 2019-12-06T17:56:10Z 2009-07-02T07:58:29Z 2019-12-06T17:56:10Z 2005 2005 Journal Article Kariwala, V., Skogestad, S., Forbes, J. F. & Meadows, E. S. (2005). Achievable input performance of linear systems under feedback control. International Journal of Control, 78(16), 1327-1341. 0020-7179 https://hdl.handle.net/10356/90904 http://hdl.handle.net/10220/4673 10.1080/00207170500204815 en International journal of control International Journal of Control copyright 2005 Taylor Francis. The journal's website is located at http://www.tandf.co.uk/journals/tf/00207179.html 42 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Chemical engineering DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering Meadows, Edward S. Kariwala, Vinay Skogestad, Sigurd Forbes, J. Fraser Achievable input performance of linear systems under feedback control |
| title | Achievable input performance of linear systems under feedback control |
| title_full | Achievable input performance of linear systems under feedback control |
| title_fullStr | Achievable input performance of linear systems under feedback control |
| title_full_unstemmed | Achievable input performance of linear systems under feedback control |
| title_short | Achievable input performance of linear systems under feedback control |
| title_sort | achievable input performance of linear systems under feedback control |
| topic | DRNTU::Engineering::Chemical engineering DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering |
| url | https://hdl.handle.net/10356/90904 http://hdl.handle.net/10220/4673 |
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